On the Canonical Calkin Reduction Operator
The topic of discussion here is the reduction operator of Calkin and his method of extensions of a Hermitian operator, variant from the von Neumann theory. An existence of a partial isometric reduction operator is established, which provides a link between these theories, and referred to as the can...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2014-08-01
|
| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/98 |
| Summary: | The topic of discussion here is the reduction operator of Calkin and his method of extensions of a Hermitian operator, variant from the von Neumann theory. An existence of a partial isometric reduction operator is established, which provides a link between these theories, and referred to as the canonical reduction operator. Concrete realization of discussed is applied to a canonical differential operator.
|
|---|---|
| ISSN: | 1829-1163 |